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Finding the Fourth Proportional to 3,533.14, 5,302.01 and 2,611.00

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Solution

The fourth proportional to 3,533.14, 5,302.01 and 2,611.00 is: 3,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.14 : 5,302.01 = 2,611.00 : x
  2. Step 2: Convert to fraction form
    3,533.14/5,302.01 = 2,611.00/x
  3. Step 3: Cross multiply
    3,533.14x = 5,302.01 × 2,611.00
  4. Step 4: Simplify right side
    3,533.14x = 13,843,546.58
  5. Step 5: Solve for x
    x = 13,843,546.58/3,533.14
  6. Step 6: Final answer
    x = 3,918.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.